Timeline for Derivation of the Dirichlet L-series of order $1$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 1, 2023 at 2:32 | vote | accept | SoapEatr | ||
| Sep 30, 2023 at 6:39 | comment | added | Gerry Myerson | The m.se post was math.stackexchange.com/questions/4777670/…, and you waited all of five hours after you posted there before posting here, and you didn't inform either site of your post to the other one. | |
| Sep 30, 2023 at 3:27 | comment | added | GH from MO | See my post below for the general formula (with a pointer to its proof) and how it gives the value of $L(1,\chi_{-8})$. | |
| Sep 30, 2023 at 3:25 | answer | added | GH from MO | timeline score: 2 | |
| Sep 30, 2023 at 2:44 | comment | added | SoapEatr | Oh thanks for clarifying. I've asked mathstackexchange a couple of times for the derivation but to no avail, probably because of my wording. I would greatly appreciate it if you could provide me a proof of just one specific case:$L(1,-8)=\dfrac{1}{2\sqrt{2}}$, Since I'm trying to work out an alternate proof of the Basel problem :) | |
| Sep 29, 2023 at 19:45 | comment | added | GH from MO | It is not clear what you mean by "derivation of Dirichlet series or order $1$". Are you interested in deriving explicit formulae for $L(1,\chi)$, where $\chi$ is a nontrivial Dirichlet character? Such formulae go by the name of class number formulae, and they were originally obtained by Dirichlet himself. | |
| S Sep 29, 2023 at 16:35 | review | First questions | |||
| Sep 29, 2023 at 16:35 | |||||
| S Sep 29, 2023 at 16:35 | history | asked | SoapEatr | CC BY-SA 4.0 |